3809863680 has 288 divisors, whose sum is σ = 14184162720. Its totient is φ = 870481920.

The previous prime is 3809863657. The next prime is 3809863703. The reversal of 3809863680 is 863689083.

It is an interprime number because it is at equal distance from previous prime (3809863657) and next prime (3809863703).

It is a super-2 number, since 2×3809863680² = 29030122520366284800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1504015 + ... + 1506545.

It is an arithmetic number, because the mean of its divisors is an integer number (49250565).

Almost surely, 2^3809863680 is an apocalyptic number.

3809863680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3809863680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7092081360).

3809863680 is an abundant number, since it is smaller than the sum of its proper divisors (10374299040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3809863680 is a wasteful number, since it uses less digits than its factorization.

3809863680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2575 (or 2548 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 3809863680 is about 61724.0931889647. The cubic root of 3809863680 is about 1561.8397755083.

The spelling of 3809863680 in words is "three billion, eight hundred nine million, eight hundred sixty-three thousand, six hundred eighty".